101002001011101 has 64 divisors (see below), whose sum is σ = 151950844631040. Its totient is φ = 66297066675840.

The previous prime is 101002001011097. The next prime is 101002001011103. The reversal of 101002001011101 is 101110100200101.

It is not a de Polignac number, because 101002001011101 - 2² = 101002001011097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002001011103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4213496046 + ... + 4213520016.

It is an arithmetic number, because the mean of its divisors is an integer number (2374231947360).

Almost surely, 2^{101002001011101} is an apocalyptic number.

It is an amenable number.

101002001011101 is a deficient number, since it is larger than the sum of its proper divisors (50948843619939).

101002001011101 is a wasteful number, since it uses less digits than its factorization.

101002001011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30383 (or 30377 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101002001011101 its reverse (101110100200101), we get a palindrome (202112101211202).

The spelling of 101002001011101 in words is "one hundred one trillion, two billion, one million, eleven thousand, one hundred one".